Ideal gas laws

Ideal Gas Laws

• Units and Variables

  • P - pressure, in Pascals or atmospheres
  • V - volume, in cubic meters
  • T - temperature, in Kelvin
  • n - number of moles
  • N - number of particles (atoms, molecules, etc.)
  • N_A - Avogadro's Number
  • m - mass, in grams
  • M - molar mass, in grams
  • R - universal gas constant
  • k_B - Boltzmann's Constant
• $R=8.314472\frac{J}{\mathrm{mol}K}=0.08214\frac{L\mathrm{atm}}{\mathrm{mol}K}$
• $N_A=6.022\times {10}^{23}$
• $k_B=\frac{R}{N_A}=1.38\times {10}^{-23}\frac{J}{K}$
• $PV=nRT=N{k}_{B}T$
• $n=\frac{N}{N_A}=\frac{m}{M}$